Function Notation and Interpreting Graphs

The function R represents the rain total rainfall, in cm, after x hours. The graph of the function is shown.

Interpret the meaning of R (1.5) = 3

• After 1.5 hours, 3 cm of rain has fallen.

• After 3 hours, 1.5 cm of rain has fallen.

• After 1.5 hours, 1.5 cm of rain has fallen.

• After 3 hours, 3 cm of rain has fallen.

Function F shows the distance a car traveled after h, hours. The graph is shown.

Estimate F(6) and explain its meaning.

• 240;

  240 miles were traveled after 6 hours.

• 240;

  240 hours passed after 6 miles were driven.

• 320;

  320 miles were traveled after 6 hours.

• 320;

  320 hours passed after 6 miles were driven.

Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?

• Ms. Brackemyer starts with 8 pencils and ends with 52.

• After 8 days, Ms. Brackemyer has 52 pencils.

• Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

• Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

The function R represents the rain total rainfall, in cm, after x hours. The graph of the function is shown.

After how many hours was the rainfall 2 cm?

• 1 hour

• 2 hours

• 3 hours

• 4 hours

For what value of x does f(x) = -2?

• x = 0

• x = -5

• x = 3

• x = -3

What is x if
f(x) = -2?

• 4

• 0

• 3

• 8

The function B(x) = 8x + 25 represents the cost (in dollars) of renting a bicycle for x days.

Explain the meaning of B(13)=129

• The cost of renting the bicycle for 13 days is $129.

• The cost of renting the bicycle for 129 days is $13.

• The cost of renting the bicycle for 8 days is $129.

• The cost of renting the bicycle for 129 days is $25.

The function B(x) = 8x + 25 represents the cost (in dollars) of renting a bicycle for x days.

If the rental fee was $185, then how many days was the bicycle rented?

• 20 days

• 23 days

• 24 days

• 26 days

What does S(4)=70 represent?

• The salary of a babysitter who worked 4 hours is $70.

• The number of hours the babysitter worked is 70.

• The salary of a babysitter who worked 70 hours is $4.

• The salary of the babysitter who worked 0 hours is $4.

Function F shows the distance a car traveled after h, hours. The graph is shown.

How far did the car travel after 2 hours?

• 80 miles

• 160 miles

• 240 miles

• 320 miles